$A$ sealed container with negligible coefficient of volumetric expansion contains helium (a monoatomic gas). When it is heated from $300\, K$ to $600\, K,$ the average kinetic energy $(K.E.)$ of helium atoms is

The $rms$ speed of an ideal hydrogen gas molecule in a gas chamber at $0^{\circ}C$ is $3180 \ m/s$. What is the pressure of the hydrogen gas in atmospheres? (Given: Density of hydrogen gas $\rho = 8.99 \times 10^{-2} \ kg/m^3$,$1 \ atm = 1.01 \times 10^5 \ N/m^2$)

Internal energy of an ideal gas depends on which factors and does not depend on which factors?

Assertion $(A)$: The temperature of a gas is a result of the kinetic energy of its molecules.
Reason $(R)$: Due to kinetic energy,the molecules collide with each other to produce thermal energy.

At $...... ^\circ C$ temperature,the mean kinetic energy of ${O_2}$ molecules will be the same as that of ${H_2}$ molecules at $-73^\circ C$.

$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.